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Finding the Fourth Proportional to 257.56, 386.33 and 180.61

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Solution

The fourth proportional to 257.56, 386.33 and 180.61 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.56 : 386.33 = 180.61 : x
  2. Step 2: Convert to fraction form
    257.56/386.33 = 180.61/x
  3. Step 3: Cross multiply
    257.56x = 386.33 × 180.61
  4. Step 4: Simplify right side
    257.56x = 69,775.06
  5. Step 5: Solve for x
    x = 69,775.06/257.56
  6. Step 6: Final answer
    x = 270.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.